(1 point) The volume of the solid obtained by rotating the region enclosed by x=2y,y3=x(with y≥0) about the y-axis can be computed using the method of disks or washers via an integral V=∫ba ? with limits of integration a= and b= . The volume is V= cubic units. Note: You can earn full credit if the last question is correct and all other questions are either blank or correct.

Answer:

[tex]t=\frac{\bar x_1- \bar x_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2} } }[/tex]

Step-by-step explanation:

H0: µ1 – µ2 = 0

HA: µ1 – µ2 ≠ 0

We have given,

The population variances are not known and cannot be assumed equal.

The test statistic for the test is

[tex]t=\frac{\bar x_1- \bar x_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2} } }[/tex]

Where,

[tex]\bar x_1[/tex] = sample meaan of population 1

[tex]\bar x_2[/tex] = sample mean of population 2

[tex]n_1[/tex] = sample size of population 1

[tex]n_2[/tex] = sample size of population 2

Therefore, this is the test

[tex]t=\frac{\bar x_1- \bar x_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2} } }[/tex]

Answer: C you pay fee fewer upfront cost

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

hundreds  tens  ones

2                   9      9

We look at the tens

It is 5 or higher so we round up the hundreds place

2 becomes 3

300

Answer:

300

Step-by-step explanation:

its obv 300 because 299 is greater than 249 and if it is less than 249 it is rounded to 200.

Answer:

1  5/16 gallon

Step-by-step explanation:

Gallon of ice brought by Karen = 3/8

Gallon of ice brought by Robin = 15/16

Total ice team brought by them is sum of Gallon of ice brought by Karen + Gallon of ice brought by Robin

Total ice team brought by Karen and Robin = 3/8 + 15/16

=>  3*2/8*2 + 15/16

we are multiplying with 2 both numerator and denominator in 3/8 so sas the denominator becomes 16 as in other fraction denominator is 16

=> 6/16 + 15/16

=> (6+15)/16 = 21/16

since 21/16 is improper fraction, converting it in mixed fraction we have

21/16 = 1  5/16 gallon

Thus , Karen and Robin have 1  5/16 gallon ice tea together.

Answer:

V≈20579.53

Step-by-step explanation:

[tex]V=\frac{4}{3} \pi r^3[/tex]

Answer:

a)The 80% of confidence interval for the Population 'μ' is

(29.9121 ,33.4879)

b) Margin of error of mean '  'μ' is  =  1.7879

Step-by-step explanation:

step(i):-

Given random sample 'n' =28

The mean of the sample x⁻ =31.7 min

The standard deviation of the sample's' =7.2

Step(ii):-

80% of confidence intervals:

The 80% of confidence interval for the Population 'μ' is determined by

[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } )[/tex]

Degrees of freedom

γ = n-1 = 28-1 =27

[tex]t_{\frac{\alpha }{2} } = t_{\frac{0.20}{2} } = t_{0.1} = 1.314[/tex]

The 80% of confidence interval for the Population 'μ' is determined by

[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } )[/tex]

[tex](31.7-1.314 X \frac{7.2}{\sqrt{28} } , 31.7+1.314 X\frac{7.2}{\sqrt{28} } )[/tex]

(31.7 -1.7879 , 31.7 +1.7879)

(29.9121 ,33.4879)

b)

Margin of error of mean is determined by

[tex]M.E = {\frac{t_{\frac{\alpha }{2} } s}{\sqrt{n} } }[/tex]

[tex]M.E = {\frac{1.314 X 7.2}{\sqrt{28} } }[/tex]

Margin of error =1.7879

Answer:

To convert the feet to square feet we have to multiply the length by the width. In which, we should get the answer as well.

Our length is 2ft, since it's a rectangle the other side is 2ft as well.

The width is 3ft, and the other half is 3ft.

So, basically to get the area of the hole, it'd be 3*2=

Which, it's 6sq ft.

Step-by-step explanation:The actual answer is 36. If I am wrong i am sorry ;3

Answer:

21

Step-by-step explanation:

Answer:

6.7

Step-by-step explanation:

Answer:

84mm

Step-by-step explanation:

Formula of a triangle:

A =bh/2

A=14(12)/2

A=168/2

A=84mm

Subtract 48-19=29 Correct me if I'm wrong.

That means it's 29 cups.

Answer:

29 cups

Step-by-step explanation:

step 1: since the liquid in the photo is shown to go up to between 18 and 20, it has to be 19 cups.

step 2: so she had 48 cups, right? and she used 19. so we have to subtract 19 from 48.

step 3: 48-19 = 29. she has 29 cups left..

i hope this helps!

Answer:

Frank's confidence interval, (.75, .89) has to be wrong.

The explanation is presented below.

Step-by-step explanation:

The Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Margin of Error is the width of the confidence interval about the mean.

So, a sample proportion of 80% indicates that Beth's interval of (.73, .87) gives a margin of error of 7%.

Making the lower limit of the interval be

(Sample proportion) - (Margin of error) = 80 - 7 = 73%

Upper limit of the interval = (Sample proportion) + (Margin of error) = 80 + 7 = 87%

Hence, this confidence interval is plausible for the survey carried out.

But Frank's interval of (.75, .89) doesn't work with the definition of a confidence interval given above. The range has to be equally spread around the mean with (lower limit, upper limit). The lower limit cannot be 75 and the upper limit 89.

If the lower limit is truly 75, the margin of error has to be (80 - 75), 5%. And the corresponding upper limit should be (80 + 5), 85%.

Frank's interval as (.75, .85) would have been more plausible.

And if the upper limit is truly 89%, the fiitting lower limit, judging by the distance of the upper limit from the sample proportion (89 - 80 = 9%), should be (80 - 9), 71%. Frank's interval as (.71, .89) would also have been more plausible.

Hope this Helps!!!

Answer:

56.52

Step-by-step explanation:

Area of hemisphere = 2πr^2

Radius = 3

= 2×3.14×3×3

= 56.52

hope it helps!

Answer:

First one

Step-by-step explanation:

1 dot over 150: 150 once

3 dots over 160: 160 thrice

5 dots over 165: 165 five times

4 dots over 175: 175 four times

{150, 160, 160, 160, 165, 165, 165, 165, 165, 175, 175, 175, 175}

The data sets that represents the dot plot is,{150, 160, 160, 160, 165, 165, 165, 165, 165, 175, 175, 175, 175}.

We have given the,

The following dot plot shows the pulse rates of runners after finishing a marathon.

A normal resting heart rate for adults ranges from 60 to 100 beats per minute.

dot plot with the title of Pulse Rates of Marathon Runners, Pulse Rate.

on the x-axis, and the Number of Runners on the y axis with 1 dot over 150, 3 dots over 160, 5 dots over 165, and 4 dots over 175.

1 dot over 150: 150 once 3 dots over 160: 160 thrice 5 dots over 165: 165 five times 4 dots over 175: 175 four times.

Therefore the data sets which represent the dot plot is,{150, 160, 160, 160, 165, 165, 165, 165, 165, 175, 175, 175, 175}

Therefore option first is correct.

To learn more about the dot plot visit:

https://brainly.com/question/24375372

#SPJ2

Answer:

D

Step-by-step explanation:

Answer:

D.- Ramesh is not correct because as the exponents decrease, the previous value is divided by 7, so 7^-5 = 1 ÷ 7 ÷ 7 ÷ 7 ÷ 7 ÷ 7 = 1/16,807.

Answer:

25%

Step-by-step explanation:

Take the new price and subtract the original price

15-12 = 3

Divide by the original price

3/12 = .25

Multiply by 100%

25%

The percent increase is 25%

Answer: Option(C) is correct option

Explanation:

Margin of error is the factor that occurs in survey for determining random sampling error. It indicates about confidence interval (CI) through describing difference occurring in poll result and actual population value.If there is high margin of error, then confidence is low because poll result will not reflect the actual population result collected through survey.

According to the question, researcher would try to get small margin of error so that lower confidence interval can be acceptable because large confidence interval(CI) will indicate more margin of error.

Other options are incorrect because small margin of error cannot produce increment in confidence or usage of large confidence.Large confidence interval will result in large margin of error. Thus, the correct option is option(c).

Answer:

B

7! = 7 X 6 X 5 X 4 x 3 x 2 x 1

Step-by-step explanation:

n! is the product of all natural numbers until n

7! = 1 × 2 × 3 × 4 × 5 × 6 × 7

The answer is B 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1

Answer:

The mean absolute deviation is 15

Step-by-step explanation:

First you have to find the mean, which in this case is 147.

Then you need to find the difference between each individual number and the mean. Once you have all the diffences written down, you need to add all the differences together. If you take the sum of the differences and divide them by the mean, you'll get your answer!

 Let me know if that makes sense! :)

Answer:

25

Step-by-step explanation:

x^2 – 10x = 7

Take the coefficient of x

-10

Divide by 2

-10/2 = 5

Square it

5^2 = 25

Add this to both sides

x^2 – 10x+25 = 7+25

Answer:

The answer to this is n+4.

Step-by-step explanation:

Answer:

⅓ m/s

Step-by-step explanation:

Area of a square is:

A = s²

Take derivative of both sides with respect to time:

dA/dt = 2s ds/dt

Given that dA/dt = 6 m²/s and s = 9 m:

6 m²/s = 2 (9 m) ds/dt

ds/dt = ⅓ m/s

The Formula of the area of a square: A = bh or A = s^2

Solution:

~Take derivative of both sides

da/dt = 2s * ds/dt

~Use given values (6m^2/s and 9m)

6 = 2(9) * ds/dt

~Simplify

1/3m/s = ds/dt

Best of Luck!

Answer:

Step-by-step explanation:

total = 1 + 2 + 4 + 3 = 10

blue then blue = 2/10 * 2/10 = 1/5 * 1/5 = 1/25

green then red = 4/10 * 3/10 = 12/100 = 3/25

Answer:

There are 11 parts of fruit: 4-strawberry, 3- grape, 2, cherry, 1- apple, 1-orange 4/11 from the entine quantity of fruits- strawberry

3/11-grapes

2/11- cherries

1/11- apples

1/11- oranges } ⇒ the quantity of oranges and apples are equal Hope it helps ;>

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

Answer:

33.60

Step-by-step explanation:

First determine the discount

40 * 20%

40 *.2 =8

The discount is 8

40-8 = 32

The shirt was 32 dollars before tax

Now find the tax

32 * 5%

32*.05 =1.60

Add the tax to the sale price

32+1.60

33.60

Answer:

33.6

Step-by-step explanation:

40-20%=32

32+5%=33.6

Answer:

ellipse ; 4 degrees

Step-by-step explanation:

edge’s possible answer 2020

Answer:

Average Rate of Pay = $ 5.23 /hr

Step-by-step explanation:

We have a data in form of Hours of Baby Sitting and Amount of Pay. Since the Amount of pay depends upon the Hours of Baby Sitting. Thus, we take y = Amount of Pay, while x = Hours of Baby Sitting. So, the data becomes:

x (Hours) =   12      13      16      17       20

y ($)         =  54     56     65     64     100  

The statistical data calculated is:

∑x = 78,   ∑x² = 1258,   ∑y = 339,  ∑xy = 5504,   n = no. of data points = 5

Now, we use linear regression model to fit a straight line to this data.

y = a + bx   --------- eqn (1)

where,

b = [ n∑xy - ∑x.∑y]/[n∑x² -(∑x)²]

b = [ (5)(5504) - (78)(339)]/[(5)(1258) - (78)²]

b = 5.23

and,

a = (∑xy - b∑x²)/∑x

a = [5504 - (5.23)(1258)]/78

a = -13.83

Therefore, eqn (1) becomes:

y = -13.83 + 5.23x

The graph plot of this straight line fit is provided in the attachments.

Now, we derivate the equation with respect to x, to get the average rate of pay:

Average Rate of Pay = dy/dx = d/dx(-13.83 + 5.23x)

Average Rate of Pay = $ 5.23 /hr

Answer:

19

Step-by-step explanation:

f(x) = 6x - 5

g (x) = -x + 1

f(g(-3))

g(-3) = - (-3) +1 = 3+1 = 4

f(g(-3) = f(4))

f(4)= 6(4) -5 = 24-5 = 19

Answer:

78.88% probability that this sample proportion is within 0.05 of the population proportion

Step-by-step explanation:

We need to understand the normal probability distribution and the central limit theorem to solve this question.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For proportion p in a sample of size n, we have that [tex]\mu = p, s = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this question:

[tex]p = 0.8, n = 100[/tex]

So

[tex]\mu = 0.8, s = \sqrt{\frac{0.8*0.2}{100}} = 0.04[/tex]

What is the probability that this sample proportion is within 0.05 of the population proportion.

This is the pvalue of Z when X = 0.8 + 0.05 = 0.85 subtracted by the pvalue of Z when X = 0.8 - 0.05 = 0.75.

X = 0.85

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.85 - 0.8}{0.04}[/tex]

[tex]Z = 1.25[/tex]

[tex]Z = 1.25[/tex] has a pvalue of 0.8944.

X = 0.75

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.75 - 0.8}{0.04}[/tex]

[tex]Z = -1.25[/tex]

[tex]Z = -1.25[/tex] has a pvalue of 0.1056.

0.8944 - 0.1056 = 0.7888

78.88% probability that this sample proportion is within 0.05 of the population proportion